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1011360768 = 2103111732
BaseRepresentation
bin111100010010000…
…010010000000000
32121111001110011020
4330102002100000
54032402021033
6244204545440
734030265445
oct7422022000
92544043136
101011360768
11479983350
12242852280
131316b7232
14984679cc
155dbc76b3
hex3c482400

1011360768 has 132 divisors (see below), whose sum is σ = 2957800368. Its totient is φ = 304701440.

The previous prime is 1011360743. The next prime is 1011360781. The reversal of 1011360768 is 8670631101.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5845930 + ... + 5846102.

Almost surely, 21011360768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478900184).

1011360768 is an abundant number, since it is smaller than the sum of its proper divisors (1946439600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011360768 is an equidigital number, since it uses as much as digits as its factorization.

1011360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1011360768 is about 31801.8988112345. The cubic root of 1011360768 is about 1003.7726717159.

Multiplying 1011360768 by its sum of digits (33), we get a square (33374905344 = 1826882).

1011360768 divided by its sum of digits (33) gives a square (30647296 = 55362).

Adding to 1011360768 its reverse (8670631101), we get a palindrome (9681991869).

The spelling of 1011360768 in words is "one billion, eleven million, three hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 173 176 192 256 264 346 352 384 512 519 528 692 704 768 1024 1038 1056 1384 1408 1536 1903 2076 2112 2768 2816 3072 3806 4152 4224 5536 5632 5709 7612 8304 8448 11072 11264 11418 15224 16608 16896 22144 22836 29929 30448 33216 33792 44288 45672 59858 60896 66432 88576 89787 91344 119716 121792 132864 177152 179574 182688 239432 243584 265728 329219 359148 365376 478864 487168 531456 658438 718296 730752 957728 974336 987657 1316876 1436592 1461504 1915456 1948672 1975314 2633752 2873184 2923008 3830912 3950628 5267504 5746368 5846016 7661824 7901256 10535008 11492736 15323648 15802512 21070016 22985472 30647296 31605024 42140032 45970944 63210048 84280064 91941888 126420096 168560128 252840192 337120256 505680384 1011360768